Prime Numbers: Emergence and relevance of bilinear form

SFB Colloquium Series
It is a pleasure to announce a guest lecture with the title
Prime Numbers: Emergence and relevance
of bilinear form decomposition
SPEAKER: Prof. Olivier Ramaré, University of Lille-France
TIME: Wednesday, 11th March 2015, 1:45 PM
LOCATION: Science Park 1, MT 327, University Linz
Abstract: This talk will present the main historical steps in the building of modern
prime number theory and in particular, how the combinatorial sieve approach combined
with the Dirichlet series analytical approach to give birth to the representation of prime
numbers via linear combination of convolution products, some being said to be “linear”
and some being said to be “bilinear”. This will lead us to the recent developments of
Green & Tao, Mauduit & Rivat, Tao and Helfgott, and Bourgain, Sarnak & Ziegler.
The SFB Colloquium Series is supported by the FWF Special Research Program (SFB) QuasiMonte Carlo Methods: Theory and Application